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Infrared lamps are used in restaurants t...

Infrared lamps are used in restaurants to keep the food warm. The infrared radiation is strongly absorbed by water, raising its temperature and that of the food. If the wavelength of infrared radiationis assumed to be `1500` nm, and the number of quanta of infrared radiation produced per second by an infrared lamp (that consumes enregy at the rate of `100` W and is `12%` effcient only) is `(xx10^(19)`, then the value of x is :
`(Given: h= 6.665xx10^(-34)J-s)`

Text Solution

Verified by Experts

The correct Answer is:
9

`P =(n(hc)/lambda)/t`
`(100 xx 12)/100 =(x xx 10^(19)) xx (6.63 xx 10^(-34) xx 3 xx 10^(8))/(1500 xx 10^(-9) xx 1)`
x=9
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Infrared lamps are used in restaurants to keep the food warm. The infrared radiation is strongly absorbed by water, raising is temperature and that of the food. If the wavelength of infrared radiation is assumed to be 1500nm , then the number of photons per second of infrared radiation produced by an infrared lamp that consumes energy at the rate of 100W and is 12% efficient only is y xx 10^(19) . Find the value of y .

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